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Finding the Fourth Proportional to 12,649.77, 17,418.04 and 11,463.12

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Solution

The fourth proportional to 12,649.77, 17,418.04 and 11,463.12 is: 15,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.77 : 17,418.04 = 11,463.12 : x
  2. Step 2: Convert to fraction form
    12,649.77/17,418.04 = 11,463.12/x
  3. Step 3: Cross multiply
    12,649.77x = 17,418.04 × 11,463.12
  4. Step 4: Simplify right side
    12,649.77x = 199,665,054.03
  5. Step 5: Solve for x
    x = 199,665,054.03/12,649.77
  6. Step 6: Final answer
    x = 15,784.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.